SOLUTION: A car rental company has two rental rates. Rate 1 is $72 per day plus $0.16 per mile. Rate 2 is $144 per day plus $0.08 per mile. If you plan to rent for one week, how many mile

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A car rental company has two rental rates. Rate 1 is $72 per day plus $0.16 per mile. Rate 2 is $144 per day plus $0.08 per mile. If you plan to rent for one week, how many mile      Log On


   

Question 169384: A car rental company has two rental rates. Rate 1 is $72 per day plus $0.16 per mile. Rate 2 is $144 per day plus $0.08 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
so we have 72d+.16m for rate 1 and 144d+.08m for rate 2. where d is days and m is mileage. set is to rate 2 :
144(7)+.08m < 72(7)+.16m
:
1008+.08m < 504+.16m
:
-.08m < -504.......we need to divide by -.08 remembering that when you divide by a negative that the inequality reverses.
:
highlight%28m%3E6300%29miles